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Finding the Third Proportional to 685.69 and 1,503.84

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Solution

The third proportional to 685.69 and 1,503.84 is: 3,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.69 : 1,503.84 = 1,503.84 : x
  2. Step 2: Convert to fraction form
    685.69/1,503.84 = 1,503.84/x
  3. Step 3: Cross multiply
    685.69x = 1,503.84 × 1,503.84
  4. Step 4: Simplify right side
    685.69x = 2,261,546.02
  5. Step 5: Solve for x
    x = 2,261,546.02/685.69
  6. Step 6: Final answer
    x = 3,298.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.